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Finding the Fourth Proportional to 307,400.92, 461,141.70 and 120,388.12

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Solution

The fourth proportional to 307,400.92, 461,141.70 and 120,388.12 is: 180,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,400.92 : 461,141.70 = 120,388.12 : x
  2. Step 2: Convert to fraction form
    307,400.92/461,141.70 = 120,388.12/x
  3. Step 3: Cross multiply
    307,400.92x = 461,141.70 × 120,388.12
  4. Step 4: Simplify right side
    307,400.92x = 55,515,982,316.60
  5. Step 5: Solve for x
    x = 55,515,982,316.60/307,400.92
  6. Step 6: Final answer
    x = 180,597.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.